Condensation of interacting scalar bosons at finite temperatures

Abstract

Thermodynamical properties of an interacting system of scalar bosons at finite temperatures are studied within the framework of a field-theoretical model containing the attractive and repulsive self-interaction terms. Self-consistency relations between the effective mass and thermodynamic functions are derived in the mean-field approximation. We show that for a sufficiently strong attractive interaction a first-order phase transition develops in the system via the formation of a scalar condensate. An interesting prediction of this model is that the condensed phase appears within a finite temperature interval and is characterized by a constant scalar density of Bose particles.

arXiv comment6 pages, 3 figures

References in corpus (18)

• Hadron production in central nucleus-nucleus collisions at chemical freeze-out
• QCD at finite isospin density
• More is the Same; Phase Transitions and Mean Field Theories
• QCD at finite isospin density: from pion to quark-antiquark condensation
• van der Waals Interactions in Hadron Resonance Gas: From Nuclear Matter to Lattice QCD
• QCD phase diagram for nonzero isospin-asymmetry
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• QCD at small non-zero quark chemical potentials
• The O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation
• Scrutinizing the pion condensed phase
• Equation of state of hadron resonance gas and the phase diagram of strongly interacting matter
• Hadron Resonance Gas Equation of State from Lattice QCD
• Multicomponent van der Waals equation of state: Applications in nuclear and hadronic physics
• Intriguing aspects of meson condensation
• Mean-field approach in the multi-component gas of interacting particles applied to relativistic heavy-ion collisions
• Phase Transition in Interacting Boson System at Finite Temperatures
• Fluctuations in non-ideal pion gas with dynamically fixed particle number
• Limiting temperature of pion gas with the van der Waals equation of state

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• Bose-Einstein condensation in finite drops of alpha particles
• Temperature of the hot $\alpha$-source: a guidance to probe the Bose-Einstein condensation of $\alpha$ clusters in the heavy-ion collision
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas